Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution.
We present an efficient numerical solution of a PDE-driven model for color image segmentation and give numerical examples of the results. The method combines the vector-valued Allen-Cahn phase field equation with initial data fitting terms with prescribed interface width and fidelity constants. Effi...
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| Format: | Journal article |
| Language: | English |
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2009
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| _version_ | 1826265748441399296 |
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| author | Kay, D Tomasi, A |
| author_facet | Kay, D Tomasi, A |
| author_sort | Kay, D |
| collection | OXFORD |
| description | We present an efficient numerical solution of a PDE-driven model for color image segmentation and give numerical examples of the results. The method combines the vector-valued Allen-Cahn phase field equation with initial data fitting terms with prescribed interface width and fidelity constants. Efficient numerical solution is achieved using a multigrid splitting of a finite element space, thereby producing an efficient and robust method for the segmentation of large images. We also present the use of adaptive mesh refinement to further speed up the segmentation process. |
| first_indexed | 2024-03-06T20:28:31Z |
| format | Journal article |
| id | oxford-uuid:3040412b-4fff-4cb1-a385-2ecc7055da58 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:28:31Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:3040412b-4fff-4cb1-a385-2ecc7055da582022-03-26T13:00:17ZColor image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3040412b-4fff-4cb1-a385-2ecc7055da58EnglishSymplectic Elements at Oxford2009Kay, DTomasi, AWe present an efficient numerical solution of a PDE-driven model for color image segmentation and give numerical examples of the results. The method combines the vector-valued Allen-Cahn phase field equation with initial data fitting terms with prescribed interface width and fidelity constants. Efficient numerical solution is achieved using a multigrid splitting of a finite element space, thereby producing an efficient and robust method for the segmentation of large images. We also present the use of adaptive mesh refinement to further speed up the segmentation process. |
| spellingShingle | Kay, D Tomasi, A Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution. |
| title | Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution. |
| title_full | Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution. |
| title_fullStr | Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution. |
| title_full_unstemmed | Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution. |
| title_short | Color image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution. |
| title_sort | color image segmentation by the vector valued allen cahn phase field model a multigrid solution |
| work_keys_str_mv | AT kayd colorimagesegmentationbythevectorvaluedallencahnphasefieldmodelamultigridsolution AT tomasia colorimagesegmentationbythevectorvaluedallencahnphasefieldmodelamultigridsolution |